The fraction 355/113 is used as an approximation for pi. A question
about converting this fraction to decimal form leads to an interesting
discussion of how to calculate long repeating decimals without having
to divide them all the way out one number at a time.

Is a fraction like -3/4 considered a proper fraction? Is -8/3
considered an improper fraction? I've generally thought that all
proper fractions lie between 0 and 1 on a number line, but how do the
negatives fit in?

My 7th grade math teacher and I are in the midst of an argument over
whether any number can be placed over zero in a fraction. I know that a
fraction like 10/5 equals 2, and 5*2=10, and that works out for all
fractions where the numerator is larger than the denominator, but it
doesn't work out for n/0. You'll probably say that it isn't a legitimate
fraction, but.. I still say that it is. :)